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Finding the Third Proportional to 156,223.69 and 233,313.47

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Solution

The third proportional to 156,223.69 and 233,313.47 is: 348,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,223.69 : 233,313.47 = 233,313.47 : x
  2. Step 2: Convert to fraction form
    156,223.69/233,313.47 = 233,313.47/x
  3. Step 3: Cross multiply
    156,223.69x = 233,313.47 × 233,313.47
  4. Step 4: Simplify right side
    156,223.69x = 54,435,174,700.16
  5. Step 5: Solve for x
    x = 54,435,174,700.16/156,223.69
  6. Step 6: Final answer
    x = 348,443.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.